Search a number
-
+
10605052320 = 253522093859
BaseRepresentation
bin10011110000001110…
…00100000110100000
31000101002021110212120
421320013010012200
5133204343133240
64512155024240
7523542312612
oct117007040640
930332243776
1010605052320
114552303855
12207b73b080
1310001648b5
14728662db2
15421077ad0
hex2781c41a0

10605052320 has 48 divisors (see below), whose sum is σ = 33405916320. Its totient is φ = 2828013824.

The previous prime is 10605052303. The next prime is 10605052343. The reversal of 10605052320 is 2325050601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106050523202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11046450 + ... + 11047409.

It is an arithmetic number, because the mean of its divisors is an integer number (695956590).

Almost surely, 210605052320 is an apocalyptic number.

10605052320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10605052320 is an abundant number, since it is smaller than the sum of its proper divisors (22800864000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10605052320 is a wasteful number, since it uses less digits than its factorization.

10605052320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22093877 (or 22093869 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 10605052320 in words is "ten billion, six hundred five million, fifty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 22093859 44187718 66281577 88375436 110469295 132563154 176750872 220938590 265126308 331407885 353501744 441877180 530252616 662815770 707003488 883754360 1060505232 1325631540 1767508720 2121010464 2651263080 3535017440 5302526160 10605052320